So the unit rate is basically how many ounces in 1 cup?
So since there are 64 ounces in 8 cups, you can just divide by 8, to find how many sets of 8 there are in 64.
64 = 8
64 / 8 = 8 / 8
8 = 1
So there are 8 ounces in 1 cup, which is your unit rate.
RTP: [a tan(u) + b]² + [b tan(u) - a]² = (a² + b²) sec²(u)
Proving LHS = RHS:
LHS = [a tan(u) + b]² + [b tan(u) - a]²
= a² tan²(u) + 2ab tan(u) + b² + b² tan²(u) - 2ab tan(u) + a²
= (a² + b²) tan²(u) + (a² + b²)
= (a² + b²)[tan²(u) + 1]
= (a² + b²) sec²(u), using the identity: tan²(x) + 1 = sec²(x)
= RHS
Answer:
Imagine the function y = absolute value(x). It looks like the English letter "V". The bottom of our V (i.e f(x) touches the x-axis when x = 6, so the "V" graph has been translated 6 units to the right of the origin. But when x = 6 the value of f(x) is 0-4 = -4 so the tip of the V is located 4 units below the x axis. Summary: g(x) looks like the absolute value function but is translated 6 units to the right of the origin and 4 units down
Step-by-step explanation:
You haven't provided a graph or equation so I will tell the simplified meaning of amplitude instead.
Amplitude, is basically a distance from midline/baseline to the maximum or minimum point.
For sine function, can be written as:

- A = amplitude
- b = period = 2π/b
- c = horizontal shift
- d = vertical shift
I am not able to provide an attachment for an easy view but I will try my best!
We know that amplitude or A is a distance from baseline/midline to the max-min point.
Let's see the example of equation:

Refer to the equation above:
- Amplitude = 2
- b = 1 and therefore, period = 2π/1 = 2π
- c = 0
- d = 0
Thus, the baseline or midline is y = 0 or x-axis.
You can also plot the graph on desmos, y = 2sinx and you will see that the sine graph has max points at 2 and min points at = -2. They are amplitude.
So to conclude or say this:
If Amplitude = A from y = Asin(x), then the range of function will always be -A ≤ y ≤ A and have max points at A; min points at -A.